Broken-axisymmetry state and magnetic state diagram of spin-1 condensate through the prism of quadrupole degrees of freedom

Abstract

We theoretically study a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate in external magnetic field within the Bogoliubov approach. To this end, in contrast to previous studies, we employ the general Hamiltonian, which includes both spin and quadrupole exchange interactions as well as the couplings of the spin and quadrupole moment with the external magnetic field (the linear and quadratic Zeeman terms). The latter is responsible for the emergence of the broken-axisymmetry state. We also re-examine ferromagnetic, quadrupolar, and paramagnetic states employing the proposed Hamiltonian. For all magnetic states, we find the relevant thermodynamic characteristics such as magnetization, quadrupole moment, thermodynamic potential, as well as excitation energies for broken-axisymmetry state. We show that the broken-axisymmetry state can be prepared at three different regimes of applied magnetic field. We also present the magnetic state diagrams for each regime of realizing the broken-axisymmetry state.

arXiv comment14 pages, 2 figures, 4 tables

References in corpus (32)

• Spinor Bose Condensates in Optical Traps
• Spin domains in ground state spinor Bose-Einstein condensates
• Optical Confinement of a Bose-Einstein Condensate
• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• Spinor Bose-Einstein condensates
• A Strongly Dipolar Bose-Einstein Condensate of Dysprosium
• Bose-Einstein Condensation of Erbium
• Quantum spins mixing in spinor Bose-Einstein condensates
• Spin-Nematic Squeezed Vacuum in a Quantum Gas
• Resonant control of spin dynamics in ultracold quantum gases by microwave dressing
• Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
• Quantum tunneling across spin domains in a Bose-Einstein condensate
• Amplification of Fluctuations in a Spinor Bose Einstein Condensate
• Broken axisymmetry phase of a spin-1 ferromagnetic Bose-Einstein condensate
• s-wave scattering lengths of the strongly dipolar bosons ${}^{162}$Dy and ${}^{164}$Dy
• Spin domain formation in spinor Bose-Einstein condensation
• Phase diagram of spin 1 antiferromagnetic Bose-Einstein condensates
• Superfluidity and phase transitions in a resonant Bose gas
• Realization of a Resonant Fermi Gas with a Large Effective Range
• Quenched binary Bose-Einstein condensates: spin domain formation and coarsening
• Spinor condensates with a laser-induced quadratic Zeeman effect
• A ground state study of the spin-1 bilinear-biquadratic Heisenberg model on the triangular lattice using tensor networks
• Spin-Domain Formation in Antiferromagnetic Condensates
• Spontaneous formation and relaxation of spin domains in antiferromagnetic spin-1 quasi-condensates
• Accurate determination of the scattering length of erbium atoms
• Bose-Einstein condensation of heteronuclear bound states formed in a Fermi gas of two atomic species: microscopic approach
• The Contact in the BCS-BEC crossover for finite range interacting ultracold Fermi gases
• Finite-range effects in dilute Fermi gases at unitarity
• Magnetic phases and phase diagram of spin-1 condensate with quadrupole degrees of freedom
• SU(3) symmetry in theory of a weakly interacting gas of spin-1 atoms with Bose-Einstein condensate
• Re-examining the quadratic approximation in theory of a weakly interacting Bose gas with condensate: the role of nonlocal interaction potentials
• On microscopic theory of spin-S Bose-Einstein condensate in a magnetic field